pith. sign in
Pith Number

pith:RJ7M4WJF

pith:2015:RJ7M4WJFY6DCXZFZLVVZSOX2JG
not attested not anchored not stored refs pending

Markov birth-and-death dynamics of populations

Viktor Bezborodov

arxiv:1502.06783 v1 · 2015-02-24 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RJ7M4WJFY6DCXZFZLVVZSOX2JG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.
Receipt and verification
First computed 2026-05-18T02:26:28.647018Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8a7ece5925c7862be4b95d6b993afa49a0f37d22b081e0a68dee4db3a692fd5d

Aliases

arxiv: 1502.06783 · arxiv_version: 1502.06783v1 · doi: 10.48550/arxiv.1502.06783 · pith_short_12: RJ7M4WJFY6DC · pith_short_16: RJ7M4WJFY6DCXZFZ · pith_short_8: RJ7M4WJF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RJ7M4WJFY6DCXZFZLVVZSOX2JG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 8a7ece5925c7862be4b95d6b993afa49a0f37d22b081e0a68dee4db3a692fd5d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fbaae0f28a1040b0c3baba968f67832f3bdbd8d8c72eb7a7d88321a015214341",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-02-24T12:34:23Z",
    "title_canon_sha256": "0caf659294e9f6788b2bd63fde04384c5a76cdff54a323c13fbb82609897c8e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06783",
    "kind": "arxiv",
    "version": 1
  }
}